Question

In the given figure, what is y in terms of x?

(a) $\frac{3}{2}x$

(b) $\frac{4}{3}x$

(c) x

(d) $\frac{3}{4}x$

Answer 1

In the given figure, we need to find y in terms of x

Now, using the property, “an exterior angle of the triangle is equal to the sum of the two opposite interior angles”, we get

In ΔABC

..........(1)

Similarly, in ΔOCD

(using 1)

Thus,

Therefore, the correct option is (a).